As long as they accept no government funding, true.
there should be no federal funding of education period.
Most if not all Catholic elementary and high schools are funded by tuition and by the diocese. Unlike “Catholic” colleges who made the big mistake of accepting public monies. Parents paying hefty tuition have a right to expect the school to be in line with Catholic teaching. Teachers who lie about their status should not be surprised when the truth comes out and they lose their jobs. It’s sad, she seems like a nice teacher, but if you allow someone “quiet” to stay, you open the door for someone not so quiet.